Score contribution per author:
α: calibrated so average coauthorship-adjusted count equals average raw count
We examine a version of the model of Crawford and Sobel (1982) in which agents are not biased, but their preferences are not necessarily smooth. In this situation, we show that communication converges to full information transmission as the number of messages used for communication increases if and only if the sender and the receiver have the same local relative preferences for avoiding small “upward” or “downward” mistakes. When these conditions fail, either an arbitrarily small bias or an arbitrarily small noise in the observation of the state may make communication very coarse in all equilibria, even when the message space is infinite. Hence, contrary to what was previously thought, continuity of preferences and close alignment between the sender's and receiver's ideal actions do not guarantee the existence of equilibria with precise information transmission.